Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

Details Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

2010-11-28

arxiv.org/abs/1011.6105v1

Mathematics

Probability

4

Scientific paper

In this Note, we present a Calder\'on-type uniqueness theorem on the Cauchy
problem of stochastic partial differential equations. To this aim, we introduce
the concept of stochastic pseudo-differential operators, and establish their
boundedness and other fundamental properties. The proof of our uniqueness
theorem is based on a new Carleman-type estimate.

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